223271461969920 has 672 divisors, whose sum is σ = 952566903916992. Its totient is φ = 47107817865216.

The previous prime is 223271461969901. The next prime is 223271461969921. The reversal of 223271461969920 is 29969164172322.

223271461969920 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 7 + 1 + 4 + 619 + 6 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×223271461969920³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223271461969921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30218424 + ... + 36874056.

It is an arithmetic number, because the mean of its divisors is an integer number (1417510273686).

Almost surely, 2^{223271461969920} is an apocalyptic number.

223271461969920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223271461969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476283451958496).

223271461969920 is an abundant number, since it is smaller than the sum of its proper divisors (729295441947072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223271461969920 is a wasteful number, since it uses less digits than its factorization.

223271461969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6655690 (or 6655663 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 223271461969920 in words is "two hundred twenty-three trillion, two hundred seventy-one billion, four hundred sixty-one million, nine hundred sixty-nine thousand, nine hundred twenty".